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Finding the Third Proportional to 740,796 and 1,082,893.50

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Solution

The third proportional to 740,796 and 1,082,893.50 is: 1,582,970.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    740,796 : 1,082,893.50 = 1,082,893.50 : x
  2. Step 2: Convert to fraction form
    740,796/1,082,893.50 = 1,082,893.50/x
  3. Step 3: Cross multiply
    740,796x = 1,082,893.50 × 1,082,893.50
  4. Step 4: Simplify right side
    740,796x = 1,172,658,332,342.25
  5. Step 5: Solve for x
    x = 1,172,658,332,342.25/740,796
  6. Step 6: Final answer
    x = 1,582,970.66

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.